@article{MASLO_1981_31_2_a5,
author = {Plesn{\'\i}k, J\'an},
title = {A bound for the {Steiner} tree problem in graphs},
journal = {Mathematica slovaca},
pages = {155--163},
year = {1981},
volume = {31},
number = {2},
mrnumber = {611627},
zbl = {0458.05027},
language = {en},
url = {http://geodesic.mathdoc.fr/item/MASLO_1981_31_2_a5/}
}
Plesník, Ján. A bound for the Steiner tree problem in graphs. Mathematica slovaca, Tome 31 (1981) no. 2, pp. 155-163. http://geodesic.mathdoc.fr/item/MASLO_1981_31_2_a5/
[1| AHO A. V., GAREY M. R., HWANG F. K: Rectilinear Steiner trees: Efficient special case algorithms. Networks 7, 1977, 37-58. | MR | Zbl
[2] BERGE C.: Graphs and hypergraphs. North-Holland, Amsterdam 1973. | MR | Zbl
[3] BORŮVKA O.: O jistém problému minimálním. Práce moravské přírodovědecké společnosti 3, 1926, 37-58.
[4] CHRISTOFIDES N.: Graph theory - An algorithmic approach. Academic Press, London 1975. | MR | Zbl
[5] CHRISTOFIDES N.: Worst-case analysis of a new heuristic for the traveling salesman problem. Math. Programming, to appear.
[6] CHUNG F. R. K., GILBERT E. N.: Steiner trees for the regular simplex. Bull. Inst. Math. Acad. Sinica 4, 1976, 313-325. | MR | Zbl
[7] CHUNG F. R. K., HWANG F. K.: A lower bound for the Steiner tree problem. SIAM J. appl. Math. 34, 1978, 27-36. | MR | Zbl
[8] ČULÍK K., DOLEŽAL V., FIEDLER M.: Kombinatorická analýza v praxi. SNTL - Nakladatelstvi technicke literatury, Praha 1967.
[9] DREYFUS S. E., WAGNER R. A.: The Steiner problem in graphs. Networks 1, 1971, 194-207. | MR
[10] GAREY M. R., GRAHAM R. L., JOHNSON D. S.: The complexity of computing Steiner minimal trees. SIAM J. Appl. Math. 32, 1977, 835-859. | MR | Zbl
[11] GAREY M. R., JOHNSON D. S.: The rectilinear Steiner tree problem is NP-complete. SIAM J. Appl. Math. 32, 1977, 826-834. | MR | Zbl
[12] GILBERT E. N., POLLAK H. O.: Steiner minimal trees. SIAM J. Appl. Math. 16, 1968, 1-29. | MR | Zbl
[13] GRAHAM R. L., HWANG F. K.: Remarks on Steiner minimal trees I. Bull. Inst. Math. Acad. Sinica 4, 1976, 177-182. | MR
[14] HAKIMI S.L.: Steiner's problem in graphs and its implications. Networks 1, 1971, 113-133. | MR | Zbl
[15] HANAN M.: On Steiner's problem with rectilinear distance. SIAM J. Appl. Math. 14, 1966, 255-265. | MR | Zbl
[16] HWANG F. K.: On Steiner minimal trees with rectilinear distance. SIAM J. Appl. Math. 30, 1976, 104-114. | MR | Zbl
[17] JARNÍK V., KOSSLER M.: O minimálních grafech obsahujicích n daných bodů. Časopis Pěst. Mat. Fys. 63, 1934, 223-235. | MR
[18] KARP R. M.: Reducibility among combinatorial problems. In: Complexity of computer computations (R. E. Miller a and J. W. Thatcher, eds.) Plenum Press, New York 1972, 85-104. | MR
[19] ROSENKRANTZ D. J., STEARNS R. E., LEWIS P. M.: An analysis of several heuristics for the traveling salesman problem. SIAM J. Comput. 6, 1977, 563-581. | MR | Zbl
[20] TARJAN R. E.: Depth-first search and linear graph algorithms. SIAM J. Computing 1, 1972, 146-160. | MR | Zbl